[chombier]

Geometric Algebra supporters keep advertising that rotors are great since they work in any dimension, which makes me wonder: would an arbitrary n-dimensional SVD-like decomposition benefit from using rotors instead of rotation matrices, and if so how? And if not, why?

[thesz]

There are 2^n coefficients in the general GA transform (versor). One should be very, very careful dealing with GA versors of high dimensions.

[chombier]

Yes, but from the canonical form of rotation matrices [1] I would expect such matrices to be represented as a sum of bi-vectors/rotors, which should take the same amount of data?

[1] https://en.wikipedia.org/wiki/Orthogonal_group#Canonical_for...